期刊
PHYSICAL REVIEW A
卷 82, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.82.032711
关键词
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资金
- US NSF [PHY-0555396, PHY-0854912]
- US DOE [DE-FG02-04ER41338, DE-FC02-07ER41457]
- UK STFC [PP/F000448/1, ST/F012047/1]
- Direct For Mathematical & Physical Scien
- Division Of Physics [0854912] Funding Source: National Science Foundation
- Science and Technology Facilities Council [ST/F012047/1, PP/F000448/1] Funding Source: researchfish
- STFC [PP/F000448/1, ST/F012047/1] Funding Source: UKRI
We study systems of few two-component fermions interacting via short-range interactions within a harmonic-oscillator trap. The dominant interactions, which are two-body interactions, are organized according to the number of derivatives and defined in a two-body truncated model space made from a bound-state basis. Leading-order (LO) interactions are solved for exactly using the formalism of the no-core shell model, whereas corrections are treated as many-body perturbations. We show explicitly that next-to-LO and next-to-next-to-LO interactions improve convergence as the model space increases. We present results at unitarity for three-and four-fermion systems, which show excellent agreement with the exact solution (for the three-body problem) and results obtained by other methods (in the four-body case). We also present results for finite scattering lengths and nonzero range of the interaction, including (at positive scattering length) observation of a change in the structure of the three-body ground state and extraction of the atom-dimer scattering length.
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